Algebric Computations

Front 1

Competency 011The beginning teacher:

Back 1

• Works proficiently with real and complex numbers and their operations.

Front 2

Competency 011The beginning teacher:

Back 2

• Analyzes and describes relationships between number properties,
operations, and algorithms for the four basic operations involving
integers, rational numbers, and real numbers.

Front 3

Competency 011The beginning teacher:

Back 3

• Uses a variety of concrete and visual representations to demonstrate the
connections between operations and algorithms.

Front 4

Competency 011 The beginning teacher:

Back 4

• Justifies procedures used in algorithms for the four basic operations
with integers, rational numbers, and real numbers, and analyzes error
patterns that may occur in their application.

Front 5

Competency 011 The beginning teacher:

Back 5

• Relates operations and algorithms involving numbers to algebraic
procedures (e.g., adding fractions to adding rational expressions,
division of integers to division of polynomials).

Front 6

Competency 011 The beginning teacher:

Back 6

• Extends and generalizes the operations on rationals and integers to
include exponents, their properties, and their applications to the real
numbers.

Front 7

first distributor phase of comp 11

Back 7

• Perform operations using any of the subsets
of the complex numbers

Front 8

SECOND distributor phase of comp 11

Back 8

• Represent arithmetic and algebraic algorithms
in concrete, visual and paper pencil FORMATS

Front 9

THIRD DISTRIBUTOR PHASE OF COMP 11

Back 9

• Analyze and justify procedures in arithmetic
and simple algebraic problems.

Front 10

FOURTH DISTRIBUTOR PHASE OF COMP 12

Back 10

• Use exponents to work with large and small
numbers as well as algebraic representations.

Front 11

• If a decimal and a fraction are involved, convert either the fraction to a _______ form or the decimal

Back 11

• If a decimal and a fraction are involved, convert either the fraction to a decimal form or the decimal to a fraction and then add/subtract.

Front 12

• When adding/subtracting complex numbers identify real and imaginary parts and then add/subtract
their coefficients respectively.

Back 12

(a + bi) + (c + di) = (a + c) + i(b + d)
Examples: Simplify. a. +3 = b. 2.1+ = c. 3+2i–(5+10i)
Answers:
a.
b. By converting to a decimal form, we get 2.1 + = 2.1+0.5=2.6
c. 3+2i –(5+10i)=3+2i –5–10i = 3–5+2i–10i = -2–8i
Multiplying and Dividing
Division by a fraction is multiplication by the reciprocal thus the rules remain similar for both operations.

Front 13

Examples: Simplify. a.1/2 +3 2/3 = b. 2.1+ = c. 3+2i–(5+10i)

Back 13

Examples: Simplify. a. +3 = b. 2.1+ 1/2= c. 3+2i–(5+10i)

Front 14

1/2 + 2 2/3

Back 14

GET ANSWER LATER